TSTP Solution File: GRP490-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP490-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:26:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP490-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 02:01:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.u5yQROP0Sr/cvc5---1.0.5_25390.p...
% 0.21/0.52 ------- get file name : TPTP file name is GRP490-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25390.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Unsatisfiable for GRP490-1
% 0.21/0.57 % SZS output start Proof for GRP490-1
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (tptp.inverse tptp.a1))) (let ((_let_2 (tptp.multiply _let_1 tptp.a1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B)))) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B)))))))) (let ((_let_9 (tptp.double_divide tptp.a1 _let_1))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (tptp.inverse _let_10))) (let ((_let_12 (tptp.double_divide _let_10 _let_11))) (let ((_let_13 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_12 tptp.identity) _let_12)))) (let ((_let_14 (tptp.double_divide tptp.identity _let_10))) (let ((_let_15 (tptp.double_divide _let_14 _let_13))) (let ((_let_16 (tptp.double_divide tptp.identity _let_9))) (let ((_let_17 (= _let_14 (tptp.double_divide (tptp.double_divide tptp.identity _let_16) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_16 _let_13) tptp.identity) _let_15)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_20 (tptp.double_divide _let_19 tptp.identity))) (let ((_let_21 (= _let_19 (tptp.double_divide _let_16 (tptp.double_divide tptp.identity (tptp.double_divide _let_19 _let_20)))))) (let ((_let_22 (tptp.inverse _let_19))) (let ((_let_23 (= tptp.identity (tptp.double_divide _let_19 _let_22)))) (let ((_let_24 (= _let_10 _let_15))) (let ((_let_25 (= tptp.identity _let_12))) (let ((_let_26 (= _let_20 _let_22))) (let ((_let_27 (tptp.inverse _let_9))) (let ((_let_28 (tptp.double_divide _let_9 _let_27))) (let ((_let_29 (= _let_9 (tptp.double_divide _let_16 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_28 tptp.identity) _let_28)))))) (let ((_let_30 (= tptp.identity _let_28))) (let ((_let_31 (= _let_10 _let_27))) (let ((_let_32 (= tptp.identity _let_9))) (let ((_let_33 (= _let_2 _let_10))) (let ((_let_34 (= tptp.identity _let_2))) (let ((_let_35 (not _let_17))) (let ((_let_36 (_let_8))) (let ((_let_37 ((tptp.double_divide (tptp.double_divide (tptp.double_divide A B) tptp.identity) (tptp.double_divide C B))))) (let ((_let_38 (_let_4))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.inverse A)))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.double_divide A tptp.identity)))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (SYMM (ASSUME :args (_let_3))))) (let ((_let_47 (not _let_34))) (let ((_let_48 (and _let_47 _let_33 _let_32 _let_31 _let_30 _let_29 _let_26 _let_25 _let_24 _let_23 _let_21))) (let ((_let_49 (ASSUME :args (_let_33)))) (let ((_let_50 (ASSUME :args (_let_24)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (APPLY_UF tptp.double_divide))) (let ((_let_53 (ASSUME :args (_let_25)))) (let ((_let_54 (ASSUME :args (_let_32)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (TRANS _let_55 (SYMM (SYMM _let_53))))) (let ((_let_57 (REFL :args (tptp.identity)))) (let ((_let_58 (CONG _let_57 (CONG (CONG _let_56 _let_57 :args _let_52) _let_56 :args _let_52) :args _let_52))) (let ((_let_59 (SYMM _let_55))) (let ((_let_60 (ASSUME :args (_let_21)))) (let ((_let_61 (ASSUME :args (_let_26)))) (let ((_let_62 (ASSUME :args (_let_23)))) (let ((_let_63 (CONG _let_55 _let_59 :args _let_52))) (let ((_let_64 (ASSUME :args (_let_29)))) (let ((_let_65 (ASSUME :args (_let_30)))) (let ((_let_66 (TRANS _let_55 _let_65))) (let ((_let_67 (ASSUME :args (_let_31)))) (let ((_let_68 (SYMM (SYMM _let_67)))) (let ((_let_69 (CONG _let_59 _let_68 :args _let_52))) (let ((_let_70 (SYMM _let_65))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_16 _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_54 _let_67 _let_46 _let_49 _let_50 _let_53 _let_60 _let_64 _let_61 _let_62) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_69 _let_70) (TRANS (CONG (TRANS (TRANS (CONG _let_59 (TRANS (SYMM _let_63) _let_68) :args _let_52) _let_70 _let_59) (TRANS _let_55 _let_65 (SYMM _let_69))) (TRANS (CONG _let_57 (TRANS (CONG (TRANS (CONG (TRANS (CONG (REFL :args (_let_16)) (TRANS (SYMM _let_58) (CONG _let_57 (CONG (CONG _let_66 _let_57 :args _let_52) _let_66 :args _let_52) :args _let_52)) :args _let_52) (SYMM _let_64)) _let_57 :args _let_52) _let_63) (TRANS _let_51 (CONG _let_55 (TRANS (SYMM (SYMM _let_62)) (CONG (REFL :args (_let_19)) (SYMM _let_61) :args _let_52)) :args _let_52)) :args _let_52) (SYMM _let_60) (CONG (REFL :args (_let_10)) _let_59 :args _let_52)) :args _let_52) _let_58) :args _let_52) _let_51 (SYMM _let_49)) :args (=)) (FALSE_INTRO _let_46))) :args (_let_30 _let_32 _let_31 _let_47 _let_33 _let_24 _let_25 _let_21 _let_29 _let_26 _let_23))) :args (_let_47 _let_33 _let_32 _let_31 _let_30 _let_29 _let_26 _let_25 _let_24 _let_23 _let_21))) :args (true _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args (_let_35)) :args (or))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_44)) _let_45 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_32 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41))) _let_42 :args (_let_31 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 _let_27 _let_9 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_18 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41))) _let_42 :args (_let_26 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_25 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_10 _let_11 _let_10 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_18 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_23 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 tptp.identity _let_19 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_18 :args (_let_21 false _let_8)) :args (_let_35 true _let_34 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_26 false _let_25 false _let_24 false _let_23 false _let_21)) _let_18 :args (false true _let_17 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for GRP490-1
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------